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Elastodynamic analysis of anisotropic liquid-saturated porous medium due to mechanical sources

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Abstract

Elastodynamic analysis of an anisotropic liquid-saturated porous medium is made to study a deformation problem of a transversely isotropic liquid-saturated porous medium due to mechanical sources. Certain physical problems are of the nature, in which the deformation takes place only in one direction, e.g., the problem relating to deformed structures and columns. In soil mechanics, an assumption of only vertical subsidence is often invoked and this leads to the one dimensional model of poroelasticity. By considering a model of one-dimensional deformation of the anisotropic liquid-saturated porous medium, variations in disturbances are observed with reference to time and distance. The distributions of displacements and stresses are affected due to the anisotropy of the medium, and also due to the type of sources causing the disturbances.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, 136 119, India

    Rajneesh Kumar (Professor, Doctor)

  2. Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, 125 001, India

    Aseem Miglani

  3. Department of Mathematics, Maharshi Dayanand University, Rohtak, 124 001, India

    N. R. Garg

Authors
  1. Rajneesh Kumar
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  2. Aseem Miglani
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  3. N. R. Garg
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Correspondence to Rajneesh Kumar.

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Communicated by GUO Xing-ming

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Kumar, R., Miglani, A. & Garg, N.R. Elastodynamic analysis of anisotropic liquid-saturated porous medium due to mechanical sources. Appl Math Mech 28, 1049–1059 (2007). https://doi.org/10.1007/s10483-007-0807-x

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  • DOI: https://doi.org/10.1007/s10483-007-0807-x

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2000 Mathematics Subject Classification

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